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Volumn 32, Issue 4, 2003, Pages 479-513

Some approximate godunov schemes to compute shallow-water equations with topography

Author keywords

[No Author keywords available]

Indexed keywords

DRAINAGE; FINITE VOLUME METHOD; VACUUM; WATER;

EID: 0037404907     PISSN: 00457930     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7930(02)00011-7     Document Type: Article
Times cited : (241)

References (29)
  • 2
    • 0347366100 scopus 로고    scopus 로고
    • Schémas d'équilibre pour les lois de conservation scalaires avec des termes sources raides
    • To appear in Mathematical Methods and Numerical Analysis
    • Botchorishvili R, Perthame B, Vasseur A. Schémas d'équilibre pour les lois de conservation scalaires avec des termes sources raides, INRIA Report RR-3891, 2000. To appear in Mathematical Methods and Numerical Analysis.
    • (2000) INRIA Report RR-3891
    • Botchorishvili, R.1    Perthame, B.2    Vasseur, A.3
  • 3
    • 0000198147 scopus 로고    scopus 로고
    • A naive Godunov scheme to compute a non-conservative hyperbolic system
    • Buffard T, Gallouët T, Hérard JM, A naive Godunov scheme to compute a non-conservative hyperbolic system. Int Ser Numer Math 1998;129:129-38.
    • (1998) Int Ser Numer Math , vol.129 , pp. 129-138
    • Buffard, T.1    Gallouët, T.2    Hérard, J.M.3
  • 4
    • 0031993890 scopus 로고    scopus 로고
    • A naive Godunov scheme to solve shallow-water equations
    • Buffard T, Gallouët T, Hérard JM, A naive Godunov scheme to solve shallow-water equations. C R Acad Sci Paris 1998;I-326:885-90.
    • (1998) C R Acad Sci Paris , vol.1-326 , pp. 885-890
    • Buffard, T.1    Gallouët, T.2    Hérard, J.M.3
  • 5
    • 0343627928 scopus 로고    scopus 로고
    • A sequel to a rough Godunov scheme. Applications to real gas flows
    • Buffard T, Gallouët T, Hérard JM. A sequel to a rough Godunov scheme. Applications to real gas flows. Comput Fluids 2000;29(7):813-47.
    • (2000) Comput Fluids , vol.29 , Issue.7 , pp. 813-847
    • Buffard, T.1    Gallouët, T.2    Hérard, J.M.3
  • 8
    • 0001522672 scopus 로고
    • Definition and weak stability of nonconservative products
    • Dal Maso G, Le Floch PG, Murat F. Definition and weak stability of nonconservative products. J Math Pures Appl 1995;74:483-548.
    • (1995) J Math Pures Appl , vol.74 , pp. 483-548
    • Dal Maso, G.1    Le Floch, P.G.2    Murat, F.3
  • 9
    • 70350322945 scopus 로고    scopus 로고
    • Finite volume methods
    • Ciarlet PG, Lions JL, editors. Amsterdam: North-Holland
    • Eymard R, Gallouët T, Herbin R. Finite volume methods. In: Ciarlet PG, Lions JL, editors. Handbook of numerical analysis, vol. VII. Amsterdam: North-Holland; 2000. p. 729-1020.
    • (2000) Handbook of Numerical Analysis , vol.7 , pp. 729-1020
    • Eymard, R.1    Gallouët, T.2    Herbin, R.3
  • 10
    • 0003809887 scopus 로고    scopus 로고
    • Some recent finite volume schemes to compute euler equations using real gas EOS
    • Université de Provence, France, To appear in International Journal for Numerical Methods in Fluids
    • Gallouët T, Hérard JM, Seguin N. Some recent Finite Volume schemes to compute Euler equations using real gas EOS. LATP Report 00-021, Université de Provence, France, 2000. To appear in International Journal for Numerical Methods in Fluids.
    • (2000) LATP Report 00-021
    • Gallouët, T.1    Hérard, J.M.2    Seguin, N.3
  • 12
    • 0033838423 scopus 로고    scopus 로고
    • On numerical treatment of the source terms in the shallow water equations
    • Garcia-Navarro P, Vazquez-Cendon ME. On numerical treatment of the source terms in the shallow water equations. Comput Fluids 2000;29(8):951-79.
    • (2000) Comput Fluids , vol.29 , Issue.8 , pp. 951-979
    • Garcia-Navarro, P.1    Vazquez-Cendon, M.E.2
  • 14
    • 0000935266 scopus 로고
    • A difference method for numerical calculation of discontinuous equations of hydrodynamics
    • in Russian
    • Godunov SK. A difference method for numerical calculation of discontinuous equations of hydrodynamics. Mat Sb 1959:271-300 [in Russian].
    • (1959) Mat Sb , pp. 271-300
    • Godunov, S.K.1
  • 15
    • 0000711631 scopus 로고    scopus 로고
    • A well balanced scheme designed for inhomogeneous scalar conservation laws
    • Gosse L, Le Roux AY, A well balanced scheme designed for inhomogeneous scalar conservation laws. C R Acad Sci Paris 1996;1(323):543-6.
    • (1996) C R Acad Sci Paris , vol.1 , Issue.323 , pp. 543-546
    • Gosse, L.1    Le Roux, A.Y.2
  • 17
    • 1542576141 scopus 로고    scopus 로고
    • A well balanced scheme for the numerical processing of source terms in hyperbolic equation
    • Greenberg JM, Le Roux AY. A well balanced scheme for the numerical processing of source terms in hyperbolic equation. SIAM J Numer Anal 1996;33(1):1-16.
    • (1996) SIAM J Numer Anal , vol.33 , Issue.1 , pp. 1-16
    • Greenberg, J.M.1    Le Roux, A.Y.2
  • 18
    • 0001087875 scopus 로고    scopus 로고
    • Analysis and approximation of conservation laws with source terms
    • Greenberg JM, Le Roux AY, Baraille R, Noussair A. Analysis and approximation of conservation laws with source terms. SIAM J Numer Anal 1997;34(5):1980-2007.
    • (1997) SIAM J Numer Anal , vol.34 , Issue.5 , pp. 1980-2007
    • Greenberg, J.M.1    Le Roux, A.Y.2    Baraille, R.3    Noussair, A.4
  • 19
    • 84884956721 scopus 로고    scopus 로고
    • Discrétisation des termes sources raides dans les problèmes hyperboliques
    • Écoles CEA-EDF-INRIA 'problèmes non linéaires appliqués', INRIA Rocquencourt (France), March [in French]. Available from
    • Le Roux AY. Discrétisation des termes sources raides dans les problèmes hyperboliques. In: Systèmes hyperboliques: Nouveaux schémas et nouvelles applications. Écoles CEA-EDF-INRIA 'problèmes non linéaires appliqués', INRIA Rocquencourt (France), March 1998 [in French]. Available from: http://www-gm3.univ-mrs.fr/ ~leroux/publications/ay.leux.html.
    • (1998) Systèmes Hyperboliques: Nouveaux Schémas Et Nouvelles Applications
    • Le Roux, A.Y.1
  • 21
    • 0001315315 scopus 로고    scopus 로고
    • Balancing source terms and flux gradients in high-resolution Godunov methods
    • LeVeque RJ. Balancing source terms and flux gradients in high-resolution Godunov methods. J Comput Phys 1998;146:346-65.
    • (1998) J Comput Phys , vol.146 , pp. 346-365
    • LeVeque, R.J.1
  • 22
    • 0000345334 scopus 로고
    • Splitting algorithms for the sum of two nonlinear operators
    • Lions PL, Mercier B. Splitting algorithms for the sum of two nonlinear operators. SIAM J Numer Anal 1979;16(6):964-79.
    • (1979) SIAM J Numer Anal , vol.16 , Issue.6 , pp. 964-979
    • Lions P.L. Mercier, B.1
  • 24
    • 2942757053 scopus 로고
    • Approximate Riemann solvers, parameter vectors and difference schemes
    • Roe PL. Approximate Riemann solvers, parameter vectors and difference schemes. J Comput Phys 1981;43:357-72.
    • (1981) J Comput Phys , vol.43 , pp. 357-372
    • Roe, P.L.1
  • 28
    • 2442433925 scopus 로고
    • Toward the ultimate conservative difference scheme V. A second order sequel to Godunov's method
    • Van Leer B. Toward the ultimate conservative difference scheme V. A second order sequel to Godunov's method. J Comp Phys 1979;32:101-36.
    • (1979) J Comp Phys , vol.32 , pp. 101-136
    • Van Leer, B.1


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